Functional Principal Component Analysis (FPCA) has become a widely used dimension reduction tool for functional data analysis. When additional covariates are available, existing FPCA models integrate them either in the mean function or both and covariance function. However, methods of first kind not suitable that display second-order variation, while those second time-consuming make it difficul...

Non-Hermitian skin effect denotes the exponential localization of a large number eigen-states in non-Hermitian lattice under open boundary conditions. Such non-Hermiticity-induced can offset penetration depth in-gap edge states, leading to counterintuitive delocalized modes, which have not been studied realistic photonic system such as crystals. Here, we analytically reveal and states Maxwell's...

In this paper, we have proposed a novel model order reduction technique via rational transfer function fitting and eigenmode analysis considering residues. We define a constant as a key in the sorting algorithm as one of correlations in order to sort the order of eigenvalues. It is demonstrated that the accuracy via eigenmode analysis considering residues is improved. The proposed algorithm is ...

We study the effects of vertical vibrations on non-wetting large water sessile drops flattened by gravity. The solid substrate is characterized by a finite contact angle hysteresis (10-15 degrees). By varying the frequency and the amplitude of the vertical displacement, we observe two types of oscillations. At low amplitude, the contact line remains pinned and the drop presents eigen modes at d...

This study presents a mathematical size-dependent model capable of investigating the dynamic behavior sandwich perforated nanobeam incorporating flexoelectricity effect. The nonlocal strain gradient elasticity theory is developed for both continuum mechanics and flexoelectricity. Closed forms equivalent geometrical variables are developed. Hamiltonian principle exploited to derive governing equ...